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Finding the Third Proportional to 412,265.25 and 630,658.41

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Solution

The third proportional to 412,265.25 and 630,658.41 is: 964,743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,265.25 : 630,658.41 = 630,658.41 : x
  2. Step 2: Convert to fraction form
    412,265.25/630,658.41 = 630,658.41/x
  3. Step 3: Cross multiply
    412,265.25x = 630,658.41 × 630,658.41
  4. Step 4: Simplify right side
    412,265.25x = 397,730,025,373.79
  5. Step 5: Solve for x
    x = 397,730,025,373.79/412,265.25
  6. Step 6: Final answer
    x = 964,743.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.